SOLUTION: True or false The equation x^ + x + 1 = 0 has two real roots and sqrt3 is an irrational number

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Question 1053167: True or false
The equation x^ + x + 1 = 0 has two real roots and sqrt3 is an irrational number

Found 3 solutions by josgarithmetic, ikleyn, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
No. Not this:
x^ + x + 1 = 0


You want this:
x^2 + x + 1 = 0
which means


Factorable? No.
General solution for a quadratic equation makes solutions

but upon simplification
WHICH ARE NOT REAL.

Answer by ikleyn(52795)   (Show Source): You can put this solution on YOUR website!
.
is irrational number.

It is TRUE.

See the lesson
    - Proving irrationality of some real numbers
in this site.


Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

True or false
The equation x^ + x + 1 = 0 has two real roots and sqrt3 is an irrational number
? 

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